Higher order cumulants of transverse momentum and harmonic flow in relativistic heavy ion collisions

Abstract

Higher order symmetric cumulants of global collective observables in heavy ion collisions are studied. The symmetric cumulants can be straightforwardly constructed for scalar observables: the average transverse momentum, the multiplicity, and the squares of harmonic flow vectors. Third and fourth order cumulants are calculated in the hydrodynamic model. A linear predictor of the average transverse momentum and harmonic flow coefficients in a collision is used to predict the value of the cumulants from the moments of the initial distribution. The symmetric cumulants divided by the averages (or the standard deviations) of the considered observables can be used as a fine tool to study correlations present in the initial state of the collision.

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Cited by in corpus (7)

• Constraining the nucleon size with relativistic nuclear collisions
• Influence of nuclear structure in relativistic heavy-ion collisions
• Model investigations of the correlation between the mean transverse momentum and anisotropic flow in shape-engineered events
• Observation of flow angle and flow magnitude fluctuations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV at the CERN Large Hadron Collider
• Model study of the energy dependence of the correlation between anisotropic flow and the mean transverse momentum in Au+Au collisions
• Effect of transverse momentum conservation and flow on symmetric cumulants $s{c}_{2,3}\left\{4\right\}$ and $s{c}_{2,3,4}\left\{6\right\}$
• Beam-energy dependence of correlations between mean transverse momentum and anisotropic flow of charged particles in Au+Au collisions at RHIC